will someone please figure this out?

Answer:

0

Step-by-step explanation:

Answer:

a = −1 or a = 7

Step-by-step explanation:

Let's solve your equation step-by-step.

( a − 7 ) ( a + 1 ) = 0

Step 1: Simplify both sides of the equation.

a^2 − 6a − 7 = 0

Step 2: Factor left side of equation.

( a + 1 ) ( a − 7 ) = 0

Step 3: Set factors equal to 0.

a + 1 = 0 or a − 7 = 0

a = −1 or a = 7

Answer:

The perimeter of square will be 18 units

Step-by-step explanation:

We are given that the coordinates of three vertices of a square A (-2 1/2 , 1 1/2), B (-2 1/2 -3), and C (2,1 1/2 )

When point D is placed on this perimeter.

We have to find the perimeter of the square.

First we have to find the side of square by using the distance formula

Distance formula

[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Coordinates of A=(-5/2,3/2)

Coordinates of B=(-5/2,-3)

Length of side AB=[tex]\sqrt{(-5/2+5/2)^2+(-3-3/2)^2}[/tex]

Length of side AB=[tex]\sqrt{0+(-9/2)^2}[/tex]

Length of side AB=9/2 units

Now, the perimeter of square=4 (side)

Using the formula

Perimeter of square=4(9/2)=18 units

Answer:

one-solution

Step-by-step explanation:

(x + 2y = 6)2

2x - 3y = 26

2x + 4y = 12

2x - 3y = 26

7y = -14

y = -2

x + 2(-2) = 6

x + -4 = 6

x = 10

Answer:

Step-by-step explanation:

It is two lines, if they intersect there is one solution, if parallel- no solution, if  same lines- infinitely many solutions

Lets put them in slope-intercept form and compare:

As we see the lines have different slopes, so they intersect which means one solution only.

Answer:

-2

Step-by-step explanation:

f(x) = –x– 5

f(x) = -(-3)– 5

f(x) = 3– 5

f(x) = -2

Answer:

Answer is -2 because - * - = + 3-5=-2

Answer:

change/original price X 100

22/88 X 100 = 25%

Answer:

The height is 3791 ft.

Step-by-step explanation:

You need to make a drawing. Start with a vertical segment, 2 inches long, on the left side of the page. Label the top point A and the bottom point B. At the bottom endpoint, draw a longer horizontal segment, 4 inches long, to the right. Label the bottom right endpoint C. Connect A and C with a segment. Angle C is the original angle of elevation. On the bottom horizontal side, approximately 1 inch to the left of C, draw point D. Connect D and A with a segment. DA = 1000 ft. m<C = 34.8°. m<ABD = 40.4°. We are looking for AB, the height of the volcano.

We can work on triangle ADC.

m<C = 34.8°

Angles ADB and ADC are a linear pair, so m<ADC = 180° - 40.4° = 139.6°

m<DAC + m<ADC + m<C = 180°

m<DAC + 139.6° + 34.8° = 180°

m<DAC = 5.6°

Using the law of sines, we can find AC.

[tex] \dfrac{\sin A}{a} = \dfrac{\sin B}{b} [/tex]

[tex]\dfrac{\sin 5.6^\circ}{1000} = \dfrac{\sin 139.6^\circ}{AC}[/tex]

[tex]AC = \dfrac{1000\sin 139.6^\circ}{\sin 5.6^\circ}[/tex]

[tex] AC = 6642~ft [/tex]

Now we use triangle ABC. AC = hypotenuse. AB = opposite leg. <C is known angle.

[tex] \sin C = \dfrac{opp}{hyp} [/tex]

[tex]\sin 34.8^\circ = \dfrac{AB}{6642~ft}[/tex]

[tex]AB = 6642~ft \times \sin 34.8^\circ[/tex]

[tex] AB = 3791~ft [/tex]

Answer: The height is 3791 ft.

Answer:

3125 bacteria.

Step-by-step explanation:

We can write an exponential function to represent the situation.

We know that the current population is 100,000.

The population doubles each day.

The standard exponential function is given by:

[tex]P(t)=a(r)^t[/tex]

Since our current population is 100,000, a = 100000.

Since our rate is doubling, r = 2.

So:

[tex]P(t)=100000(2)^t[/tex]

We want to find the population five days ago.

So, we can say that t = -5. The negative represent the number of days that has passed.

Therefore:

[tex]\displaystyle P(-5)=100000(2)^{-5} = 100000 \Big( \frac{1}{32}\Big) = 3125 \text{ bacteria}[/tex]

However, we dealing within this context, we really can't have negative days. Although it works in this case, it can cause some confusion. So, let's write a function based on the original population.

We know that the bacterial population had been doubling for 5 days. Let A represent the initial population. So, our function is:

[tex]P(t)=A(2)^t[/tex]

After 5 days, we reach the 100,000 population. So, when t = 5, P(t) = 100000:

[tex]100000=A(2)^5[/tex]

And solving for A, we acquire:

[tex]\displaystyle A=\frac{100000}{2^5}=3125[/tex]

So, our function in terms of the original day is:

[tex]P (t) = 3125 (2)^t[/tex]

So, it becomes apparent that the initial population (or the population 5 days ago) is 3125 bacteria.

Answer:

We can express the question in a exponential function

The current population is 100,000.

The population doubles each day.

The exponential function is given by: P(t)=a(r)^t

The current population is 100,000, a = 100000.

The rate is doubling, r = 2.

P(t)=100000(2)^t

As we know that the bacterial population had been doubling for 5 days. Let A represent the initial population. So, the function is:

P(t)=A(2)^t

After 5 days, the population reaches 100,000. So, when t = 5, P(t) = 100000:

100000=A(2)⁵

Now solving for A, we get

A=(100000)/(2⁵)=3125

So, the function in terms of the original day is:

P (t) = 3125 (2)^t

Hence, the initial population is 3125 bacteria.

Answer:

it's true...............

Answer:

50,373 feet

Step-by-step explanation:

tan 15° = 13500 / x

.268 = 13500 / x

x = 50,373

Answer:

Step-by-step explanation:

The answer would be 5 because 14/7=2 and 6/3=2 and 10/ 2 =5 so 5

Answer: x=9 1/3

Step-by-step explanation:

-5=-3x-33

-5+33=-3x

28=-3x

3x=-28

x=28/3

x=9 1/3

Answer: X=-28/3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−5=−3(x+11)

−5=(−3)(x)+(−3)(11)(Distribute)

−5=−3x+−33

−5=−3x−33

Step 2: Flip the equation.

−3x−33=−5

Step 3: Add 33 to both sides.

−3x−33+33=−5+33

−3x=28

Step 4: Divide both sides by -3.

-3x/-3= 28/-3

X=-28/3

have a nice day :)

Answer:

$5.60

Step-by-step explanation:

So each pound equals to $1.75 which means that we need to multiply by 3.2 because we're trying to find the number of money we'll spend on a certain amount of coffee. So if we multiply, we get 5.6. Though in context with the problem, it should be $5.60.

Answer:

B

Step-by-step explanation:

i did the same test

Answer:

The co-ordinates of B (1,3 )

Step-by-step explanation:

Step(i):-

Given A( 3,4) and C( -9, -2)

Given  'B' partition AC such that

B divides AC in the ratio is 1:5 internally

Section formula

       [tex](\frac{mx_{2}+nx_{1} }{m+n} ,\frac{my_{2}_+ny_{1} }{m+n} )[/tex]

Step(ii):-

Given points are

     A( 3,4) and C( -9, -2) and ratio 1 : 5

(x₁ , y₁) = ( 3,4)     and (x₂, y₂) = (-9,-2)

m:n = 1 : 5

The co-ordinates of B

           = [tex](\frac{1(-9)+5(3) }{1+5} ,\frac{1(-2)+5(4) }{1+5} )[/tex]

         =  [tex](\frac{6}{6} , \frac{18}{6} )[/tex]

       = (1 , 3)

Final answer:-

The co-ordinates of B (1,3 )

Answer:

The waste Suzanne is going to have is around 7.726.

8 if looking for nearest square foot.

Step-by-step explanation:

Area for a square - x*x (length times length)

Area for a circle - r^2*pi

Find the area of the circle first, which plug in r as 3.

3^2*pi

9pi

≈28.27433

Notice for a circle inside a square,  the length of the square is the diameter of the circle.

By knowing 2r=diameter, we know the length of the square is 6

substitute x as 6.

6*6=36

Find the waste= Area of square - Area of circle

36-28.27433

≈7.726

The image I attached should give you a clue on how the problem is being done and help you to understand what the 3 feet means.

Answer:

9

Step-by-step explanation:

if you have two negatives next to eachother, the equation now adds like 5+4. 5+4=9

Answer:

3611/12

Step-by-step explanation:

Answer:

-7/3

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

y = -7/3x + 5

Step 2: Break Function

Identify Parts

Slope m = -7/3

y-intercept b = 5

Answer:

C

Step-by-step explanation:

The x coordinate of the rest stop:

1/2 × (the sum of the x coordinates of the highschool and the stadium)

= 1/2 × (3+7)

= 1/2 × 10

= 5

The y coordinate of the rest stop:

- Same thing i did for the x coordinate, but use the y coordinates.

1/2 × (the sum of the y coordinates of the highschool and the stadium)

= 1/2 × (4 + 1)

= 1/2 × 5

=5/2

So the coordinate of the rest stop would be (5, 5/2).

Next for the distance, i used the pythagoras theory so it's like this:

a^2 + b^2 = c^2

Here you plot the highschool and the stadium on the coodinate plane, then connect the two dots to make a right triangle. The height of the triangle will be 3, and the base would be 4. So a=3, b=4 in the equation.

3^2 + 4^2 = c^2

9 + 16 + c^2

25 + c^2

c = 5

(Note that this isn't the real answer cuz at the end of the question it said that one UNIT equals 6.4 MILES.)

So the final answer is 5 × 6.4, which is 32. The answer is C.

Answer: 15a^5b^15

a^2 + a^3 = a^5

b^7 + b^8 = a^15

Answer:

I think it's the y-function. Are there any choices to choose from?

Step-by-step explanation:

Answer:

They increase at the same rate

Step-by-step explanation:

If you look at linear function p, the equation is y=3x-6

Answer:

y = 45 + 0.15x

Step-by-step explanation:

$45 is the initial cost

0.15 is the cost for each mile

we dont know the miles so miles is x, unknown

Answer:

[tex]\frac{dy}{dx}[/tex] = 8(2x + 3)³

Step-by-step explanation:

Differentiate using the chain rule

Given

y = f(g(x)) , then

[tex]\frac{dy}{dx}[/tex] = f'(g(x)) × g'(x)

Here

f(x) = [tex](2x+3)^{4}[/tex] ⇒ f'(x) = 4(2x + 3)³

g(x) = 2x + 3 ⇒ g'(x) = 2

Thus

[tex]\frac{dy}{dx}[/tex] = 4(2x + 3)³ × 2

    = 8(2x + 3)³

Answer:0.03

Step-by-step explanation:

Answer:

The best inequality describes the possible length of EG is 32 < EG < 56 ⇒ B

Step-by-step explanation:

In any triangle

In Δ EFG

∵ EF = 44 cm

∵ FG = 12 cm

→ Find their sum and difference

∴ The sum of their length = 44 + 12 = 56 cm

∴ The difference between their length = 44 - 12 = 32 cm

→ By using the rule above

∵ EG is the third side

∴ EG < 56

∴ EG > 32

→ Write them in one inequality

∴ 32 < EG < 56

∴ The best inequality describes the possible length of EG is 32 < EG < 56

Given:

The two endpoints are (4,5) and (4,-3).

To find:

The line segment between the given endpoints and the length of the line segment.

Solution:

Plot the given point and connect them by and straight line segment as shown in the below graph.

The distance between (4,5) and (4,-3) is

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]d=\sqrt{(4-4)^2+(-3-5)^2}[/tex]

[tex]d=\sqrt{(0)^2+(-8)^2}[/tex]

[tex]d=\sqrt{0+64}[/tex]

[tex]d=\sqrt{64}[/tex]

[tex]d=8[/tex]

Therefore, the length of the line segment is 8 units.

Answer:

See below and attached

Step-by-step explanation:

Given numbers

Greater than 3.1×10^-3

Between 3.1 × 10^-3  and 4.3 × 10^-5

Less than 4.3 × 10^-5

Answer:

3.2x 10-5 goes in the Less than 4.3 x 10-5 box

Step-by-step explanation:

Answer:

B I think

Step-by-step explanation:

Answer: Choice B

=========================================================

Explanation:

Let's say we had segment PQ. So the endpoints are P and Q. Let M be the midpoint of segment PQ.

Furthermore, let P have coordinates (x+6, y/3). Dividing by 3 is the same as multiplying by 1/3. So (1/3)y is the same as y/3.

Let Q have the coordinates (r,s). The goal is to express r and s in terms of x and y, as the answer choices indicate.

The midpoint M is located at (2,-5)

---------------------

For now, let's focus on the x coordinates of each point

If we average the x coordinates of P and Q, we'll get the x coordinate of M

So we add up (x+6) and r, then divide by 2, and we should get 2 as a result

( (x coord of P) + (x coord of Q) )/2 = x coord of M

( (x+6) + (r) )/2 = 2

(x+6+r)/2 = 2

Let's solve for r

(x+6+r)/2 = 2

x+6+r = 2*2

x+6+r = 4

r = 4-x-6

r = -2-x

The x coordinate of point Q is -2-x

----------------------

We'll follow the same basic idea for the y coordinates

We then get

( (y coord of P) + (y coord of Q) )/2 = y coord of M

( (y/3) + (s) )/2 = -5

(y/3) + s = -5*2

(y/3) + s = -10

Now solve for s

(y/3) + s = -10

s = -10-(y/3)

This is the y coordinate of point Q.

------------------------------

We found

Point Q is therefore located at (-2-x,  -10-(y/3) )

This points to choice B as the final answer.